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Line 1: In [[mathematics]], the '''explicit formulae for [[L-~~function]]s~~functions''' are relations between sums over the complex number zeroes of an [[L-function]] and sums over prime powers, introduced by {{harvtxt\|Riemann\|1859}} for the [[Riemann zeta function]]. Such explicit formulae have been applied also to questions on bounding the [[discriminant of an algebraic number field]], and the [[conductor of a number field]]. ==Riemann's explicit formula==

Explicit formulae for L-functions: Difference between revisions